Stability and extensibility results for abstract skew-product semiflows |
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| Authors: | Sylvia Novo Ana M Sanz |
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| Institution: | a Departamento de Matemática Aplicada, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, 47011 Valladolid, Spain
b Departamento de Análisis Matemático y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain |
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| Abstract: | In this paper we present new stability and extensibility results for skew-product semiflows with a minimal base flow. In particular, we describe the structure of uniformly stable and uniformly asymptotically stable sets admitting backwards orbits and the structure of omega-limit sets. As an application, the occurrence of almost periodic and almost automorphic dynamics for monotone non-autonomous infinite delay functional differential equations is analyzed. |
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| Keywords: | 37B55 37B05 34K20 37C65 |
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